• Publications
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Intuitionism and formalism
Publisher Summary This chapter discusses the intuitionism and formalism. In Kant, one find an old form of intuitionism almost completely abandoned in which time and space are taken to be the forms ofExpand
On the structure of perfect sets of points
HISTORICAL BACKGROUND, PRINCIPLES AND METHODS OF INTUITIONISM
Publisher Summary This chapter discusses the historical background, principles, and methods of intuitionism. The historical development of the mental mechanism of mathematical thought is naturallyExpand
An intuitionist correction of the fixed-point theorem on the sphere
  • L. Brouwer
  • Mathematics
  • Proceedings of the Royal Society of London…
  • 5 June 1952
This is a specimen of intuitionist recasting of topology, and in particular an illustration of the consequences of the invalidity of the Bolzano-Weierstrass theorem in intuitionism, for the validityExpand
Mystic, geometer, and intuitionist : the life of L.E.J. Brouwer
Preface 12. The Fathers of Dimension 13. Progress, recognition, and frictions 14. From Berlin to Vienna 15. The three Battles 16. The Thirties 17. War and Occupation 18. Postwar Events 19. TheExpand
Brouwer's Cambridge Lectures on Intuitionism
Frontispiece L. E. J. Brouwer Editorial preface 1. Historical introduction and fundamental notions 2. General properties of species, spread directions, spreads and spaces 3. Order 4. PrecisionExpand
CONSCIOUSNESS, PHILOSOPHY, AND MATHEMATICS
Publisher Summary This chapter describes the importance of consciousness, philosophy, and mathematics. Consciousness in its deepest home seems to oscillate slowly, will-lessly, and reversibly betweenExpand
POINTS AND SPACES
Publisher Summary This chapter focuses on different aspects of points and spaces. The first act of intuitionism completely separates mathematics from mathematical language, in particular from theExpand
Life, Art, and Mysticism
  • L. Brouwer
  • Art, Computer Science
  • Notre Dame J. Formal Log.
  • 19 July 1996
An Example of Contradictority in Classical Theory of Functions
Publisher Summary This chapter presents an example of contradictority in classical theory of functions. The classical theorem asserting that each monotone function of the unity continuum isExpand
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